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22161360 = 2435137103
BaseRepresentation
bin101010010001…
…0011111010000
31112200220200010
41110202133100
521133130420
62110554520
7356240244
oct124423720
945626603
1022161360
1111567181
127508a40
13478c140
142d2c424
151e2b4e0
hex15227d0

22161360 has 80 divisors (see below), whose sum is σ = 73995264. Its totient is φ = 5454336.

The previous prime is 22161343. The next prime is 22161371. The reversal of 22161360 is 6316122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×221613602 = 982251754099200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432 + ... + 6671.

Almost surely, 222161360 is an apocalyptic number.

22161360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36997632).

22161360 is an abundant number, since it is smaller than the sum of its proper divisors (51833904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22161360 is a wasteful number, since it uses less digits than its factorization.

22161360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22161360 is about 4707.5853683178. The cubic root of 22161360 is about 280.8873211597.

Adding to 22161360 its reverse (6316122), we get a palindrome (28477482).

The spelling of 22161360 in words is "twenty-two million, one hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 7103 14206 21309 28412 35515 42618 56824 71030 85236 92339 106545 113648 142060 170472 184678 213090 277017 284120 340944 369356 426180 461695 554034 568240 738712 852360 923390 1108068 1385085 1477424 1704720 1846780 2216136 2770170 3693560 4432272 5540340 7387120 11080680 22161360